Our observation is consistent with the [1]} result that \(\phi ^\star \)  is RCN-robust, since,
informally,
that condition only states that “you don't do any worse when there is RCN than when there is no RCN.” Our example demonstrates even when there is no
noise,
the accuracy of the binary classifier obtained by minimizing \(\phi ^\star \)  may be only 1/2, and of course the accuracy is no worse than this when there actually is noise.
